{"id":6106,"date":"2021-12-19T15:41:14","date_gmt":"2021-12-19T15:41:14","guid":{"rendered":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/?page_id=6106"},"modified":"2022-01-02T14:07:44","modified_gmt":"2022-01-02T14:07:44","slug":"place-value-system-explanation-charts-examples-and-faq","status":"publish","type":"page","link":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/place-value-system-explanation-charts-examples-and-faq\/","title":{"rendered":"Place Value System: Explanation, Charts, Examples and FAQ"},"content":{"rendered":"

[et_pb_section fb_built=”1″ admin_label=”Section” module_class=”mainsec” _builder_version=”4.10.4″ _module_preset=”default” background_color=”#e0f2fd” z_index=”1″ custom_padding=”5px||5px||true|false” locked=”off” collapsed=”off” global_colors_info=”{}”][et_pb_row column_structure=”3_5,2_5″ custom_padding_last_edited=”on|phone” _builder_version=”4.10.8″ _module_preset=”default” background_color=”#FFFFFF” width=”100%” max_width=”1310px” custom_padding=”|51px|40px|51px|false|true” custom_padding_tablet=”” custom_padding_phone=”|40px|30px|40px|false|true” border_radii=”on|10px|10px|10px|10px” global_colors_info=”{}”][et_pb_column type=”3_5″ admin_label=”Column L” _builder_version=”4.9.10″ _module_preset=”default” global_colors_info=”{}”][et_pb_text admin_label=”Acute Angles
\n” _builder_version=”4.11.3″ _module_preset=”default” header_font=”|700|||||||” header_text_align=”left” header_font_size=”50px” header_line_height=”1.18em” custom_padding=”|0px||4px|false|false” header_font_size_tablet=”” header_font_size_phone=”35px” header_font_size_last_edited=”on|phone” global_colors_info=”{}”]<\/p>\n

Place Value System: Explanation, Charts, Examples and FAQ<\/h1>\n

[\/et_pb_text][et_pb_text admin_label=”Text” _builder_version=”4.13.1″ _module_preset=”default” text_font_size=”16px” header_2_font=”|600|||||||” header_2_text_color=”#a01414″ header_3_font=”|600|||||||” custom_padding=”15px|15px|54px|4px|false|false” global_colors_info=”{}”]<\/p>\n

Place Value and Place Value System<\/b><\/h2>\n

In a given number, each digit has a place value based on its position in that number. Since the place value is based on the position, it is different for every digit in the number.\u00a0<\/span><\/p>\n

For example, in the number 5197,\u00a0<\/span><\/p>\n

Place value of 7 = 7 ones = 7 \u00d7 1 = 7<\/span><\/p>\n

Place value of 9 = 9 tens = 9 \u00d7 10 = 90<\/span><\/p>\n

Place value of 1 = 1 hundred = 1 \u00d7 100 = 100<\/span><\/p>\n

Place value of 5 = 5 thousands = 5 \u00d7 1000 = 5000<\/span><\/p>\n

\u00a0<\/b><\/p>\n

It is also possible that a number has two similar digits but with different place values.<\/span>
<\/span>For example, In the number 3255, the rightmost 5 represents 5 ones, or 5. Whereas the other 5 represents 5 tens, or 50. Note that a digit can appear multiple times, but its value depends on its position in the number.<\/span><\/p>\n

<\/span><\/p>\n

\"\"<\/span><\/p>\n

\n

Now we will discuss the place value system<\/b>.<\/span><\/p>\n

In Mathematics, a place value system is very helpful to know the position of any digit in a given number. It also helps us to read and write any number correctly.<\/span><\/span><\/p>\n

Here, we have provided the place value charts for the Indian and International number systems. Go through this chart and you will be able to find the place value of any digit in any given number.<\/span><\/p>\n

 <\/p>\n

Indian Place Value Chart<\/b><\/h2>\n

This chart is used in India. It is a table that we use to find the place value of each digit in any given number as per the Indian number system.<\/span><\/p>\n

<\/span><\/p>\n

\"\"<\/span><\/p>\n

<\/span><\/p>\n

International Place Value Chart<\/b><\/h2>\n

The International number system is used worldwide. This chart is used to find the value of each digit in any given number as per the International numeral system.<\/span><\/p>\n

<\/span><\/p>\n

\"\"<\/span><\/p>\n

<\/b><\/h2>\n

Indian and International Place Value Chart: Comparison<\/b><\/h2>\n

Till ten thousand (10,000), both the charts are the same, but when we move ahead, these two charts show some differences as explained in the table below.<\/span><\/p>\n

<\/span><\/p>\n

\"\"<\/span><\/p>\n

<\/span><\/p>\n

Place Value System For Decimals<\/b><\/h2>\n

According to the place value system, the place values of digits after the decimal point are read in the order of Tenths, Hundredths, Thousandths, and so on.<\/span><\/b><\/p>\n

For Example: In the decimal number 21.358<\/span><\/p>\n

1 is at Ones place.<\/span><\/p>\n

2 is at Tens place.<\/span><\/p>\n

3 is at Tenths place.<\/span><\/p>\n

5 is at Hundredths place and<\/span><\/p>\n

8 is at Thousandths place.<\/span><\/p>\n

 <\/p>\n

Examples<\/b><\/h2>\n

 <\/p>\n

1.\u00a0 In the number 5420, find the digits at thousands place and hundreds place?<\/strong><\/p>\n

Solution:<\/strong><\/p>\n

In the number 5420,<\/span><\/p>\n

The digit at thousands place = 5<\/span><\/p>\n

And the digit at hundreds place = 4<\/span><\/p>\n

 <\/p>\n

2. Find the place value of:<\/strong><\/p>\n

a) 2 in 24109<\/strong><\/p>\n

b) 4 in 93410<\/strong><\/p>\n

Solution:<\/strong><\/p>\n

As per the place value chart,
a) 2 is at ten thousands place in the number 24109.
So, place value of 2 in 24109 = 20000.
b) 4 is at hundreds place in 93410.
So, the place value of 4 in 93410 = 400.<\/p>\n

 <\/p>\n

[\/et_pb_text][\/et_pb_column][et_pb_column type=”2_5″ module_id=”stickysideR” admin_label=”Column R” _builder_version=”4.10.4″ _module_preset=”default” background_color=”#fdefe0″ custom_padding=”25px|25px|25px|25px|true|true” sticky_position=”top” sticky_offset_top=”-280px” sticky_limit_top=”row” sticky_limit_bottom=”row” sticky_position_tablet=”none” sticky_position_phone=”none” sticky_position_last_edited=”on|desktop” sticky_limit_bottom_tablet=”” sticky_limit_bottom_phone=”” sticky_limit_bottom_last_edited=”on|phone” border_radii=”on|15px|15px|15px|15px” box_shadow_style=”preset3″ global_colors_info=”{}”][et_pb_image src=”https:\/\/eistudymaterial.s3.amazonaws.com\/1080×1080.png” alt=”Free Trial banner” title_text=”Mindspark Free Trial Banner” url=”https:\/\/mindspark.in\/free-trial” align=”center” module_class=”adsimg” _builder_version=”4.11.1″ _module_preset=”default” custom_padding=”||||false|false” border_radii=”on|10px|10px|10px|10px” global_colors_info=”{}” transform_styles__hover_enabled=”on|hover” transform_scale__hover_enabled=”on|hover” transform_translate__hover_enabled=”on|desktop” transform_rotate__hover_enabled=”on|desktop” transform_skew__hover_enabled=”on|desktop” transform_origin__hover_enabled=”on|desktop” transform_scale__hover=”102%|102%”][\/et_pb_image][et_pb_text admin_label=”Explore Other Topics
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Explore Other Topics<\/h1>\n

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Geometry<\/a><\/div>\n
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Operations<\/a><\/div>\n
Numbers<\/a><\/div>\n<\/div>\n

[\/et_pb_text][et_pb_text admin_label=”Related Concepts
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Related Concepts<\/h1>\n

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\n
Place Value Chart<\/a><\/div>\n
Indian Place Value Chart<\/a><\/div>\n
International Place Value Chart<\/a><\/a><\/div>\n<\/div>\n

[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row admin_label=”Row for space” _builder_version=”4.10.6″ _module_preset=”default” locked=”off” global_colors_info=”{}”][et_pb_column type=”4_4″ _builder_version=”4.9.11″ _module_preset=”default” global_colors_info=”{}”][et_pb_divider show_divider=”off” _builder_version=”4.10.4″ _module_preset=”default” global_colors_info=”{}”][\/et_pb_divider][\/et_pb_column][\/et_pb_row][\/et_pb_section][et_pb_section fb_built=”1″ admin_label=”banner and faq Section” module_class=”mainsec2″ _builder_version=”4.10.4″ _module_preset=”default” custom_padding=”40px||0px||false|false” global_colors_info=”{}”][et_pb_row use_custom_gutter=”on” gutter_width=”1″ make_equal=”on” disabled_on=”on|on|off” admin_label=”banner Row” _builder_version=”4.10.4″ _module_preset=”default” background_color=”#fff7d6″ width=”100%” max_width=”1310px” height=”134px” custom_margin=”||50px||false|false” custom_padding=”12px||12px||true|false” border_radii=”on|11px|11px|11px|11px” locked=”off” collapsed=”off” global_colors_info=”{}”][et_pb_column type=”4_4″ _builder_version=”4.9.10″ _module_preset=”default” global_colors_info=”{}”][et_pb_image src=”https:\/\/stgwebsite.mindspark.in\/wordpress\/wp-content\/uploads\/2021\/08\/calloutImage.png” title_text=”calloutImage” show_bottom_space=”off” admin_label=”Image” module_class=”img1″ _builder_version=”4.10.8″ _module_preset=”default” width=”25px” height=”60px” custom_padding=”2px||2px||true|false” global_colors_info=”{}”][\/et_pb_image][et_pb_text module_class=”ftstyle” _builder_version=”4.9.10″ _module_preset=”default” text_orientation=”center” global_colors_info=”{}”]<\/p>\n

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\u00a0Frequently Asked Questions\u00a0<\/span><\/span><\/h1>\n
    <\/ol>\n

    Q1. What is Place Value? Give any Example?
    <\/strong><\/h3>\n

    Ans: <\/strong><\/span>Place value is the value of a digit in any given number based on its position in that number.
    For example, the place value of ‘1’ in the number 78091 is 1 since 1 is at ones place.<\/p>\n

    Q2. What is a Place Value System?
    <\/strong><\/h3>\n

    Ans: <\/strong>The place value system helps us find each digit\u2019s value in any given number based on its position, as per the number system.<\/strong><\/p>\n

    Q3. Differentiate place value and face value with an example?
    <\/strong><\/h3>\n

    Ans: <\/strong>The place value is the value of the digit in the given number, but the face value is the exact value of the digit.<\/span><\/p>\n

    For example, the place value of 4 in 1940 is 40, but the face value is the digit itself, i.e., 4.<\/span><\/strong><\/p>\n

    [\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"

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